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Finding the Third Proportional to 529,923 and 1,147,920

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Solution

The third proportional to 529,923 and 1,147,920 is: 2,486,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,923 : 1,147,920 = 1,147,920 : x
  2. Step 2: Convert to fraction form
    529,923/1,147,920 = 1,147,920/x
  3. Step 3: Cross multiply
    529,923x = 1,147,920 × 1,147,920
  4. Step 4: Simplify right side
    529,923x = 1,317,720,326,400
  5. Step 5: Solve for x
    x = 1,317,720,326,400/529,923
  6. Step 6: Final answer
    x = 2,486,626.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.